SOLUTION: Identify the vertices, foci, and assymptotes and graph X^2/9

SOLUTION: Identify the vertices, foci, and assymptotes and graph X^2/9 - y^2/9 = 1

Question 547160: Identify the vertices, foci, and assymptotes and graph
X^2/9 - y^2/9 = 1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Identify the vertices, foci, and assymptotes and graph
X^2/9 - y^2/9 = 1
**
Given equation is that of a hyperbola with horizontal transverse axis. Its standard form:
(x-h)^2/a^2-(y-k)^2/b^2=1
For equation of given hyperbola:
center:(0,0)
a^2=9
a=3
coordinates of the vertices: (3,0) and (-3,0)
..
b^2=9
b=3
c^2=a^2+b^2=9+9=18
c=√18≈4.24
coordinates of Foci: (√18,0) and (-√18,0)
..
slope of asymptotes=�b/a=�1
Equation of asymptotes: y=�x
see graph below as a visual check on above
y=�(x^2-9)^.5

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